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    Title: 一些第二類S-凸函數的Hadamard 型不等式的研究
    Other Titles: Hadamard's type inequalities for s-convex functions in the second sense
    Authors: 林珏君;Lin, Chueh-Chun
    Contributors: 淡江大學中等學校教師在職進修數學教學碩士學位班
    楊國勝
    Keywords: s凸函數;s-convex
    Date: 2011
    Issue Date: 2011-12-28 18:12:16 (UTC+8)
    Abstract: 很多重要的不等式都建立在凸函數上,但是其中最著名的不等式之一為Hermite-Hadamard`s不等式 (or Hadamard`s 不等式)。
    這一篇論文主要的目的在於作一些第二類S-凸函數的Hadamard 型不等式的研究,我們利用不等式來找出積分式的最佳上界,並且從這些新導出的結論中,亦可推回以前已經有人証過的定理,這令我們更加的確定,我們所推出的新結論是正確的且可供參考的。
    Many important inequalities are established for the class of convex functions, but one of the most famous is so called Hermite-Hadamard`s inequality (or Hadamard`s inequality).
    The main purpose of this paper is to establish new inequalities like those given in Theorem B、C、D and E. We make use of inequalities to figure out the best upper bound . The conclusion in the paper, which proves the result to be more convicting and useful, can also be inferred to previous results.
    Appears in Collections:[數學學系暨研究所] 學位論文

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